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Finding the Fourth Proportional to 5,139,691.38, 7,708,837.23 and 1,352,857.14

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Solution

The fourth proportional to 5,139,691.38, 7,708,837.23 and 1,352,857.14 is: 2,029,101.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,139,691.38 : 7,708,837.23 = 1,352,857.14 : x
  2. Step 2: Convert to fraction form
    5,139,691.38/7,708,837.23 = 1,352,857.14/x
  3. Step 3: Cross multiply
    5,139,691.38x = 7,708,837.23 × 1,352,857.14
  4. Step 4: Simplify right side
    5,139,691.38x = 10,428,955,487,703.32
  5. Step 5: Solve for x
    x = 10,428,955,487,703.32/5,139,691.38
  6. Step 6: Final answer
    x = 2,029,101.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.